info:eu-repo/semantics/article
Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
Autor
Martin, Héctor
Maggi, Norberto Claudio
Piovan, Tulio
De Rosa, M.A.
Martin, Nicolas
Institución
Resumen
The objective of this article is to introduce a practical procedure for determining
analytical solutions to free vibration and instability problems related to plane frames, by
means of extended power series method. Transfer conditions are applied in order to
guarantee geometric continuity and simultaneous equilibrium of knots or conexions.
This procedure leads to an important reduction in the number of unknowns to be
handled. In the problem of eigenvalue calculation of a frame (both in dynamics or
statics), the solution corresponds to the nullity of a determinant whose order is
substantially smaller compared to the one found by other ways (e.g. finite element
method). In order to attain better presición, other procedures require an increase in the
quantity of unknowns, however in the case of power series, only the degree of power is
increased without enlarging the number of unknowns. A number of examples are
presented in order to show the advantages of the present procedure. Moreover
comparisons of computational costs are included in the examples. Fil: Facultad Regional Reconquista Universidad Tecnológica Nacional, Parque Industrial
Reconquista, Calle 44 1000, S3560 Reconquista, Santa Fe, Argentina
Centro de investigaciones de Mecanica Teorica y Aplicada, Universidad Tecnologica
Nacional FRBB., 11 de Abril 461, B8000LMI, Bahia Blanca, Argentina
School of Engineering, University of Basilicata, Viale dell'Ateneo Lucano 10, 85100
Facultad Regional Reconquista Universidad Tecnológica Nacional, Parque Industrial
Reconquista, Calle 44 1000, S3560 Reconquista, Santa Fe, Argentina
Potenza, Italy Peer Reviewed